A new family of positive integers

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Let n,p,k be three positive integers. We prove that the numbers binomial (n,k) 3F2 (1-k, -p, p-n ; 1, 1-n ; 1) are positive integers which generalize the classical binomial coefficients. We give two generating functions for these integers, and a straightforward application.
Enlarged version, LaTeX, 7 pages

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Combinatorics, 05A10 (Primary), 33C20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/65283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210208
 http://arxiv.org/abs/math/0210208
 Annals of Combinatorics 6 (2002), 399-405.

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arXiv